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Finding the Third Proportional to 628,632 and 974,160

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Solution

The third proportional to 628,632 and 974,160 is: 1,509,607.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,632 : 974,160 = 974,160 : x
  2. Step 2: Convert to fraction form
    628,632/974,160 = 974,160/x
  3. Step 3: Cross multiply
    628,632x = 974,160 × 974,160
  4. Step 4: Simplify right side
    628,632x = 948,987,705,600
  5. Step 5: Solve for x
    x = 948,987,705,600/628,632
  6. Step 6: Final answer
    x = 1,509,607.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.